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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Increase in the Accuracy of the Parameters Identification for a Vibrating Ring Microgyroscope Operating in the Forced Oscillation Mode with Nonlinearity Taken into Account
D. A. Maslov, I. V. Merkuryev National Research University “Moscow Power Engineering Institute”, ul. Krasnokazarmennaya 14, Moscow, 111250, Russia
Аннотация:
The dynamics of a vibrating ring microgyroscope operating in the forced oscillation mode is investigated. The elastic and viscous anisotropy of the resonator and the nonlinearity of oscillations are taken into consideration. Additional nonlinear terms are suggested for the mathematical model of resonator dynamics. In addition to cubic nonlinearity, nonlinearity of the fifth degree is considered. By using the Krylov – Bogolyubov averaging method, equations containing parameters characterizing damping, elastic and viscous anisotropy, as well as coefficients of oscillation nonlinearity are deduced. The parameter identification problem is reduced to solving an overdetermined system of algebraic equations that are linear in the parameters to be identified. The proposed identification method allows testing at large oscillation amplitudes corresponding to a sufficiently high signal-to-noise ratio. It is shown that taking nonlinearities into account significantly increases the accuracy of parameter identification in the case of large oscillation amplitudes.
Ключевые слова:
parameter identification, vibrating ring microgyroscope, nonlinear oscillations.
Поступила в редакцию: 08.05.2018 Принята в печать: 28.06.2018
Образец цитирования:
D. A. Maslov, I. V. Merkuryev, “Increase in the Accuracy of the Parameters Identification for a Vibrating Ring Microgyroscope Operating in the Forced Oscillation Mode with Nonlinearity Taken into Account”, Нелинейная динам., 14:3 (2018), 377–386
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd620 https://www.mathnet.ru/rus/nd/v14/i3/p377
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